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Using subsets of euclidean spaces, find topological spaces X and Y and a function f : X → Y, such that (a) f is continuous but not open (b) f is open but not continuous.
Find the interest rate needed for an investment of $5800 to double in 7 yr if interest is compounded continuously. (Round your answer to two decimal places.)
At a games tournament 1.008 people are divided into teams of 6. How many teams will play in the fast round? The length of a football field is 67 yards greater than the width. The perimeter of the field is 346 yards. Find the length and width of the ..
How many days and hours since the Christian era commenced, 1811 years (Zerah usually assumed a 365-day year and a 30-day month)? How many days and hours since the Christian era commenced, 1811 years (Zerah usually assumed a 365-day year and a 30-d..
Find the perimeter of a regular pentagon inscribed in a circle and what is the average temperature in April - what is the average temperature?
a researcher predicts that watching a film on institutionalization will change students attitudes about chronically
the employees in a grocery store are handing out samples of a certain brand of pizza. this is the pizza companys way of
Describe each of the following as an indexed family of sets. Here, pi denotes the coordinated xy-plane.
Find the value of x, if any, at which f is not continuous. f(x) = 5x4 - 3x + 7; f(x) = 3√(x - 8); f(x) = (x + 2) / (x2 + 4) and f(x) = (2x + 1) / (4x2 + 4x + 5).
Compute the conditional probability: An author is established„ given that she is successful and determine the theoretical probability of the event: "An applicant had a Math SAT below 400.
Calculate the compound interest.
A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 50 degrees. At what rate is the distance from the plane to the radar station increasing 4 minutes later?
A spherical weather balloon is being inflated. Beginning at 24 cm, the radius of the balloon is increasing at the rate of 4 cm per second. Express the surface area of the balloon as a function of time (in seconds). If needed you can enter as pi. (..
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